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Fathom Quotes - page 2 - Quotesdtb.com
Fathom Quotes - page 2
And as for the close connection between philosophy and poetry, we can refer to a little-known statement by Thomas Aquinas in his Commentary on Aristotle's Metaphysics [I, 3]: the Philosopher is akin to the Poet in this, that both are concerned with the mirandum, the "wondrous," the astonishing, or whatever calls for astonishment or wonder. This statement is not that easy to fathom, since Thomas, like Aristotle, was a very sober thinker, completely opposed to any Romantic confusion of properly distinct realms. But on the basis of their common orientation towards the "wonderful" (the mirandum - something not to be found in the world of work!) - on this basis, then, of this common transcending-power, the philosophical act is related to the "wonderful," is in fact more closely related to it than to the exact, special sciences; to this point we shall return.
Josef Pieper
Mathematics have a triple aim. They must furnish an instrument for the study of nature. But that is not all: they have a philosophic aim and, I dare maintain, an esthetic aim. They must aid the philosopher to fathom the notions of number, of space, of time. And above all, their adepts find therein delights analogous to those given by painting and music. They admire the delicate harmony of numbers and forms; they marvel when a new discovery opens to them an unexpected perspective; and has not the joy they thus feel the esthetic character, even though the senses take no part therein? Only a privileged few are called to enjoy it fully, it is true, but is not this the case for all the noblest arts?
This is why I do not hesitate to say that mathematics deserve to be cultivated for their own sake, and the theories inapplicable to physics as well as the others. Even if the physical aim and the esthetic aim were not united, we ought not to sacrifice either.
Henri Poincaré